Small papayas	Medium papayas	Large papayas
$5	$6	$7

Ian had some papayas in 3 sizes. The number of medium papayas was thrice the number of large papayas. The number of large papayas were five times the number of small papayas. He sold all the small and medium papayas. He received $84 from selling ¹₅ of the large papayas.

1. How many large papayas did he have at first?
2. How much less did he collect from selling the small papayas than the medium papayas?

Small papayas	Medium papayas	Large papayas
	3x5	1x5
1x1		5x1
1 u	15 u	5 u

(a)
The number of large papayas is the repeated identity. Make the number of large papayas the same.  LCM of 1 and 5 is 5.

	Small papayas	Medium papayas	Large papayas
Before	1 u	15 u	5 u
Change	- 1 u	- 15 u	- 1 u
After	0	0	4 u

Number of large papayas that Ian sold
= ¹₅ x 5 u
= 1 u

	Small papayas	Medium papayas	Large papayas
Number	1 u	15 u	1 u
Value	$5	$6	$7
Total value	5 u	90 u	7 u

Amount that Ian received from selling of ¹₅ of the large papayas = 7 u
7 u = 84

1 u = 84 ÷ 7 = 12

Number of large papayas at first
= 5 u
= 5 x 12
= 60

(b)
Amount that Ian collected less from selling the small papayas than the medium papayas
= 90 u - 5 u
= 85 u
= 85 x 12
= $1020

Answer(s): (a) 60; (b) $1020